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Finding the Fourth Proportional to 11,706,474.71, 17,565,766.74 and 8,494,493.88

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Solution

The fourth proportional to 11,706,474.71, 17,565,766.74 and 8,494,493.88 is: 12,746,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706,474.71 : 17,565,766.74 = 8,494,493.88 : x
  2. Step 2: Convert to fraction form
    11,706,474.71/17,565,766.74 = 8,494,493.88/x
  3. Step 3: Cross multiply
    11,706,474.71x = 17,565,766.74 × 8,494,493.88
  4. Step 4: Simplify right side
    11,706,474.71x = 149,212,298,070,437.56
  5. Step 5: Solve for x
    x = 149,212,298,070,437.56/11,706,474.71
  6. Step 6: Final answer
    x = 12,746,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.